Dispersive Techniques for $\alpha_s$, $R_{had}$ and Instability of the Perturbative Vacuum

Y. Srivastava; S. Pacetti; G. Pancheri; A. Widom

Dispersive Techniques for $\alpha_s$, $R_{had}$ and Instability of the Perturbative Vacuum

High Energy Physics - Phenomenology 2007-05-23 v4

Authors: Y. Srivastava , S. Pacetti , G. Pancheri , A. Widom

Abstract

Recent dispersive techniques developed by us are applied to discuss three problems: 1. A long standing discrepan-cy between the measurements of $R(s)$ for $\sqrt{s} = (5\div 7.5)GeV$ by Crystal Ball and MARK I has been analyzed and its consequences analyzed for the number of contributing quarks. 2. Noting that the perturbative $\alpha_s$ has the wrong analyticity, analytic models consistent with asymptotic freedom (AF) and confinement have been constructed and applied to discuss $\tau$ decay. 3. It is shown that AF leads to a wrong sign for $\im\big(\alpha(s)\big)$ which signals an instability of the perturbative QCD vacuum.

Keywords

dispersive techniques alpha_s R_had perturbative vacuum asymptotic freedom confinement

Cite

@article{arxiv.hep-ph/0106005,
  title  = {Dispersive Techniques for $\alpha_s$, $R_{had}$ and Instability of the Perturbative Vacuum},
  author = {Y. Srivastava and S. Pacetti and G. Pancheri and A. Widom},
  journal= {arXiv preprint arXiv:hep-ph/0106005},
  year   = {2007}
}

Comments

4 pages, 4 figures, e^+e^- Physics at Intermediate Energies Workshop - Contribution T19

Dispersive Techniques for $\alpha_s$, $R_{had}$ and Instability of the Perturbative Vacuum

Abstract

Keywords

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